20r^2-48=44r

Solution for 20r^2-48=44r equation:

Simplifying
20r2 + -48 = 44r

Reorder the terms:
-48 + 20r2 = 44r

Solving
-48 + 20r2 = 44r

Solving for variable 'r'.

Reorder the terms:
-48 + -44r + 20r2 = 44r + -44r

Combine like terms: 44r + -44r = 0
-48 + -44r + 20r2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -11r + 5r2) = 0

Factor a trinomial.
4((-4 + -5r)(3 + -1r)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-4 + -5r)' equal to zero and attempt to solve:

Simplifying
-4 + -5r = 0

Solving
-4 + -5r = 0

Move all terms containing r to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + -5r = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5r = 0 + 4
-5r = 0 + 4

Combine like terms: 0 + 4 = 4
-5r = 4

Divide each side by '-5'.
r = -0.8

Simplifying
r = -0.8
Subproblem 2
Set the factor '(3 + -1r)' equal to zero and attempt to solve:

Simplifying
3 + -1r = 0

Solving
3 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1r = 0 + -3
-1r = 0 + -3

Combine like terms: 0 + -3 = -3
-1r = -3

Divide each side by '-1'.
r = 3

Simplifying
r = 3
Solution
r = {-0.8, 3}